# What is parabola Khan Academy?

## What is parabola Khan Academy?

Graphs of quadratic functions all have the same shape which we call “parabola.” All parabolas have shared characteristics. For example, they are all symmetric about a line that passes through their vertex.

### How do you solve parabolas?

The solution for any quadratic equation or parabola can be found by using a little algebra and the general formula for the quadratic equation, which is : x = -b ± sqrt(b^2 – 4ac) / 2a. Figure out the coefficients a, b, and c by looking at the given formula.

#### What grade level is parabolas?

Topic: Parabolas • Grade Level: 11 (Math 3) • GPS Standards: Content Standards: MM3G2. Students will recognize, analyze, and graph the equations of the conic sections (parabolas, circles, ellipses, and hyperbolas).

What are zeros in a parabola?

The graph of a quadratic function is a parabola. A parabola can cross the x-axis once, twice, or never. These points of intersection are called x-intercepts or zeros.

Can a parabola have a maximum and a minimum?

When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max. Only vertical parabolas can have minimum or maximum values, because horizontal parabolas have no limit on how high or how low they can go.

## What do AB and C mean in a parabola?

The a, b, and c values are parameters on the graph of the equation in standard form. When the vertex is the highest point on the graph, it is called a maximum. When the vertex is the lowest point, it’s called a minimum. Finally, the c-value can also be called the y-intercept of the parabola.

### What are some examples of parabolas in real life?

Examples of Parabola

• Shape of a Banana. The curved shape of a banana closely resembles a parabola.
• Roller Coasters. The curves of a roller coaster track can be easily observed and compared with the shape of a parabola.
• Bridges.
• Arch.
• Brand Name Logos.
• Rainbow.
• Wheel Pose.

#### How do you solve an equation of a parabola?

The equation of the parabola, with vertical axis of symmetry, has the form y = a x 2 + b x + c or in vertex form y = a(x – h) 2 + k where the vertex is at the point (h , k).

Are parabolas in Algebra 2?

Two possible parabolas. The equation of a parabola can be written in two basic forms: Form 1: y = a( x – h) 2 + k. Form 2: x = a( y – k) 2 + h.

What are the zeros of the equation?

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.

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### What kind of Math is in Khan Academy precalculus?

The Precalculus course, often taught in the 12th grade, covers Polynomials; Complex Numbers; Composite Functions; Trigonometric Functions; Vectors; Matrices; Series; Conic Sections; and Probability and Combinatorics. Khan Academy’s Precalculus course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

#### When do you use an equation for a parabola?

If you are using an equation for a parabola in the form of y=ax^2+bx+c then the sign of a ( the coefficient of the squared term ) will determine if it opens up or down. Comment on Scott Freeman’s post “Good question. If you are using an equation for a …” Posted 2 years ago.

What do you learn in Khan Academy Algebra 2?

Khan Academy’s Algebra 2 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience! Learn trigonometry—right triangles, the unit circle, graphs, identities, and more. Learn statistics and probability—everything you’d want to know about descriptive and inferential statistics.